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Simplifying 2(n + -7) + -1(4 + -5n) = 6n Reorder the terms: 2(-7 + n) + -1(4 + -5n) = 6n (-7 * 2 + n * 2) + -1(4 + -5n) = 6n (-14 + 2n) + -1(4 + -5n) = 6n -14 + 2n + (4 * -1 + -5n * -1) = 6n -14 + 2n + (-4 + 5n) = 6n Reorder the terms: -14 + -4 + 2n + 5n = 6n Combine like terms: -14 + -4 = -18 -18 + 2n + 5n = 6n Combine like terms: 2n + 5n = 7n -18 + 7n = 6n Solving -18 + 7n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -18 + 7n + -6n = 6n + -6n Combine like terms: 7n + -6n = 1n -18 + 1n = 6n + -6n Combine like terms: 6n + -6n = 0 -18 + 1n = 0 Add '18' to each side of the equation. -18 + 18 + 1n = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 1n = 0 + 18 1n = 0 + 18 Combine like terms: 0 + 18 = 18 1n = 18 Divide each side by '1'. n = 18 Simplifying n = 18
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